Looks like "JEM - Module-Basic" just stopped working. I didn't make any changes or do anything to the module - I just noticed that it's no longer showing the current event and I have a few upcoming events listed.
1. Are your events on main menu in the category "Events"? (as depebo mentioned)
2. What does the module class suffix "_next-event" do?
3. Your date/time are formatted interesting, take a look here:
Default values are: D, j. F Y and %H:%M